The RG flow of Nambu--Jona-Lasinio model at finite temperature and density

Abstract

We study the Nambu--Jona-Lasinio model at finite temperature and finite density by using the functional renormalization group. The RG flows of the four-fermi coupling constant in the NJL model are investigated. We obtain the chiral phase boundary in cases of the large-$N$ leading approximation and an improved approximation. The large-$N$ non-leading term at the vanishing temperature has a singularity at the fermi surface. We show that the quantum corrections by the large-$N$ non-leading term largely influence the phase boundary at the low temperature and high density region.

14 pages, 5 figures, published version

References in corpus (3)

• Exact evolution equation for the effective potential
• Chiral symmetry breaking in continuum QCD
• Non-perturbative thermal flows and resummations

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